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Finding the Fourth Proportional to 10,534.65, 15,799.84 and 3,868.86

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Solution

The fourth proportional to 10,534.65, 15,799.84 and 3,868.86 is: 5,802.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,534.65 : 15,799.84 = 3,868.86 : x
  2. Step 2: Convert to fraction form
    10,534.65/15,799.84 = 3,868.86/x
  3. Step 3: Cross multiply
    10,534.65x = 15,799.84 × 3,868.86
  4. Step 4: Simplify right side
    10,534.65x = 61,127,335.13
  5. Step 5: Solve for x
    x = 61,127,335.13/10,534.65
  6. Step 6: Final answer
    x = 5,802.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.